Tropical Combinatorics
Tropical Combinatorics
Tropical Combinatorics
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
The Newton Polytope of a <strong>Tropical</strong> Polynomial<br />
Definition<br />
Newton polytope N(F) = convex hull of the support supp(F)<br />
Theorem<br />
The tropical hypersurface T (F) of a tropical polynomial F is dual<br />
to the 1-coskeleton of the regular subdivision of N(F) induced by<br />
the coefficients of F.<br />
(−2,1)<br />
7 + 3x<br />
−2 1<br />
(1,4)<br />
3 + x<br />
4<br />
(0,4)<br />
(1,3)<br />
0 1 3<br />
(3,7)